Q:

Please Help! I don't know where to start with this, please show all work! What is the vertex form of the equation?y = -x^2 + 12x - 4

Accepted Solution

A:
Hey!-------------------------------------Formula's:x_v = -b/2a y_v = ax² + bx + c-------------------------------------Parabola Params: a = -1b = 12c = 4-------------------------------------Solve for [tex]x_{v}[/tex][tex]x_{v} = \frac{-b}{2a}[/tex][tex]x_{v} = \frac{-12}{2(-1)}[/tex][tex]x_{v} = -6[/tex]-------------------------------------Solve for [tex]y_{v}[/tex]Use -6 for [tex]x_{v}[/tex][tex]y_{v} = -6^2 + 12(6) - 4\\[/tex][tex]y_{v} = -36 + 72 - 4[/tex][tex]y_{v} = 32[/tex]-------------------------------------Answer:(6, 32)-------------------------------------Hope This Helped! Good Luck!